Parallelogram abcd has vertices at a(2,-3), b(8, -6), c(14,-3), and d(8,0). select the option which best completes the two following statements: the answer options are in the pic ^

Option C is the correct answer.

Step-by-step explanation:

#1) are equal; #2) are NOT opposite reciprocals

Step-by-step explanation:

To find the slopes, we use the formula

For the slope from A to B,

m = (-3--6)/(2-8) = (-3+6)/(-6) = 3/-6 = -0.5

For the slope from B to C,

m = (-6--3)/(8-14) = (-6+3)/(-6) = -3/-6 = 0.5

For the slope from C to D,

m = (-3-0)/(14-8) = -3/6 = =-0.5

For the slope from D to A,

m = (0--3)/(8-2) = (0+3)/6 = 3/6 = 0.5

The slopes are NOT negative reciprocals.

To find the distances, we use the formula

For the distance from A to B,

For the distance from B to C,

For the distance from C to D,

For the distance from D to A,

The lengths of two consecutive sides are the same.

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.